Narrow Results

The free vibration equations of circular monolayer graphene are analytically derived based on nonlocal elasticity theory. The natural frequency and mode shape for the axisymmetric and asymmetric circular monolayer graphenes are analyzed using the equations. The results show that the natural frequency of the asymmetric graphene is larger than that of the axisymmetric one. The natural frequency decreases with increasing nonlocal parameter for the axisymmetric and asymmetric graphenes. In addition, the diametrical nodal lines and nodal circles for the flexural vibration of the circular monolayer graphene are investigated. To avoid vibration failure of the sensors, they can be placed at the diametrical nodal lines and nodal circles.